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Finding the Third Proportional to 93.14 and 195.66

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Solution

The third proportional to 93.14 and 195.66 is: 411.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.14 : 195.66 = 195.66 : x
  2. Step 2: Convert to fraction form
    93.14/195.66 = 195.66/x
  3. Step 3: Cross multiply
    93.14x = 195.66 × 195.66
  4. Step 4: Simplify right side
    93.14x = 38,281.94
  5. Step 5: Solve for x
    x = 38,281.94/93.14
  6. Step 6: Final answer
    x = 411.01

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.